Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 203
the focus, from theconstant force parallel to the axis, under the action of which the sameparabola may be described. PROP. VIII. PROBLEM III. A body moves in a semicircle PQA under the action of aforce tending to a point S so distant that the lines PS, QSdrawn from the body to that point may be… … Let PRZ be the tangent at P9 ZQT perpendicular to PMSmeeting PRZm Z, and let SNQ meet PRZ in R. /) 7? Then the force at P « - ultimately, if the arc PQ be indefinitely diminished, and $Pmay be considered constant ;also by Euclid m. 36, QR . (EN+ QN) = RP\ and, sinceRQ is parallel to PT9 and the…
Mechanics · Celestial mechanics
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